Answer:
x = 40
Step-by-step explanation:
We have to find,
→ the value of x in the equation.
The equation is,
→ (x/2) + 3 = 23
Now the value of x will be,
→ (x/2) + 3 = 23
→ x/2 = 23 - 3
→ x/2 = 20
→ x = 20 × 2
→ [ x = 40 ]
Hence, the value of x is 40.
a researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.
By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.
That's an interesting research approach! By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.
Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.
Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.
By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.
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JU ar Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (6) ar au at (T, U, V, W) = (5, 1, 6, 12). (Use symbolic notation and fractions where needed.) JU ƏT ƏT JU =
JU ar Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (6) ar au at (T, U, V, W) = (5, 1, 6, 12). (Use symbolic notation and fractions where needed.) JU ƏT ƏT JU =.
To calculate the partial derivative, we can use the chain rule of differentiation.
Let's break down the steps:
Start with the expression (TU - V)² In (W - UV) = In (6).
Take the natural logarithm of both sides to simplify the equation: ln[(TU - V)² In (W - UV)] = ln(6).
Differentiate both sides of the equation with respect to T, using the chain rule.
Apply the chain rule: d/dT [ln[(TU - V)² In (W - UV)]] = d/dT [ln(6)].
Simplify the left-hand side by differentiating each term separately.
Differentiate ln[(TU - V)² In (W - UV)] with respect to T using the chain rule:
d/dT [ln[(TU - V)² In (W - UV)]] = d/dT [(TU - V)² In (W - UV)] * d/dT [(TU - V)² In (W - UV)].
Differentiate ln(6) with respect to T: d/dT [ln(6)] = 0.
Evaluate the partial derivative at (T, U, V, W) = (5, 1, 6, 12).
Now let's calculate the partial derivative step by step:
Partial derivative of (TU - V)² In (W - UV) with respect to T:
d/dT [(TU - V)² In (W - UV)] = 2(TU - V)(U - UV).
Evaluate the partial derivative at (T, U, V, W) = (5, 1, 6, 12):
JU ƏT ƏT JU = 2(51 - 6)(1 - 56) = 2(-5)(-29) = 290.
Answer: JU ƏT ƏT JU = 290.
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other factors remaining constant, how does sm affect the width of a confidence interval?
Standard error (SE) is a measure of the variability of the sample mean estimate, and it is calculated using the sample size and the standard deviation of the population. Smaller SEs result in narrower confidence intervals (CI) while larger SEs result in wider CIs.
Social media (SM) can affect the width of a confidence interval by influencing the sample size and standard deviation. For instance, if the sample size is small, the CI will be wider than if the sample size is large, regardless of SM. However, SM can influence the sample size by providing access to a larger or smaller population.
In addition, SM can affect the standard deviation by introducing bias or error in the data collection process. For example, if a survey is conducted through SM and the responses are voluntary, the sample may not be representative of the population, leading to a larger standard deviation.
In summary, SM can impact the width of a CI by influencing the sample size and standard deviation, but other factors, such as the sampling method and level of precision desired, should also be taken into consideration.
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Solve 210 ÷ 30 = ___ using mental math.
7
70
700
7,000
Answer:
7
-by-step explanation:
none needed just do it in your head like 21 devided by 3=7
Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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Which equation best represents the axis of symmetry?
A y = 6
B X = 2
C y = 4
D x = 0
create a frequency distribution, this time separating results for sex categories. include in your analysis the appropriate measure of central tendency. are there any differences in their measures? explain.
a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.
Here we already have the data available to us. From the data, we can clearly see that
Mode < Mean < Median
Hence this is a negatively skewed distribution.
Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.
Hence we can say that the median will a more appropriate measure.
Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.
Since now this will become multivariate data, the best measure of central tendency will be Mean.
The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.
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Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A.) y= -2x + 30
B.) y= 2x + 30
C.) y= -2x - 30
D.) y= 2x - 30
Answer:
A
Step-by-step explanation:
Because it's subtracting 2 hours every day, the slope is -2. Also because it's 30 hours, it's 30. Therefore: A.) y=-2x+30 is the answer.
Hopes this Helps!
Kyla runs around a 400-meter track at a constant speed of 200 meters per minute. How many
minutes will it take Kyla to run 4 laps around the track?
Hint - 400 meters is one lap around a track
Answer: 8
Step-by-step explanation:
Answer:
If i'm not wrong 8 minutes.
Step-by-step explanation:
If you add all the meters together its adds up to 1600. It says you run 200 meters per minute so it will take 8 minutes to run around the track 4 times.
please I need help in a rush
Answer:
i think the answer is 392= 49/Q
Simply the equation 3x+1=2x+5
Answer:4
Step-by-step explanation: 3x+1−2x=2x+5−2x
x + 1 = 5
x+1−1=5−1
x=4
Answer:
Simplifying
3x + -1 = 2x + 5
Reorder the terms:
-1 + 3x = 2x + 5
Reorder the terms:
-1 + 3x = 5 + 2x
Solving
-1 + 3x = 5 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-1 + 3x + -2x = 5 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-1 + 1x = 5 + 2x + -2x
Combine like terms: 2x + -2x = 0
-1 + 1x = 5 + 0
-1 + 1x = 5
Add '1' to each side of the equation.
-1 + 1 + 1x = 5 + 1
Combine like terms: -1 + 1 = 0
0 + 1x = 5 + 1
1x = 5 + 1
Combine like terms: 5 + 1 = 6
1x = 6
Divide each side by '1'.
x = 6
Simplifying
x = 6
Answer is 6
A wire 130 cm long is bent into the shape of a
rectangle which is 3 cm longer than it is wide.
Find the width and length of the rectangle.
Answer:
w=31, L=34
Step-by-step explanation:
x+x+(x+3)+(x+3)=130
4x+6=130
4x=124
x= 31
width = 31, length = 34 bc it is 3 cm longer
The length and width of the rectangle are 34 cm and 31 cm.
Given,
A wire 130 cm long is bent into the shape of a rectangle which is 3 cm longer than it is wide.
Find the width and length of the rectangle.
What is the perimeter and area of a rectangle?
It is given by:
Perimeter = 2 ( length + width )
Area = Length x Width
Find the length of the rectangle.
Length = Width + 3 ______(1)
Since a wire of 130 cm is bent into the shape of a rectangle.
The perimeter of the rectangle = 130 cm
We have,
Perimeter = 2 ( length + width )
130 cm = 2 ( width + 3 + width )
65 = 2width + 3
65 - 3 = 2width
2width = 62
Width = 62 / 2 = 31
Putting Width = 31 in (1)
Length = Width + 3 = 31 + 3 = 34
Thus the length and width of the rectangle are 34 cm and 31 cm.
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Ella completed the following work to test the equivalence of two expressions. 2 f 2. 6. 2 (0) 2. 6. 0 2. 6. 2. 6. 3 f 2. 6. 3 (0) 2. 6. 0 2. 6. 2. 6. Which is true about the expressions? The expressions are equivalent because Ella got different results when she substituted zero for f. The expressions are equivalent because Ella got the same result when she substituted zero for f. The expressions are not equivalent because Ella would get different results when substituting different numbers for f. The expressions are not equivalent because Ella would get the same results when substituting different numbers for f.
The expressions are equivalent because Ella got the same result when she substituted zero for f. What is an equivalence in mathematics?
Equivalence is a very essential concept in mathematics that has been defined in several ways.
Equivalence is defined as a relationship between two mathematical objects or statements that represent the same concept or property in different ways.
To know more about the concept of equivalence, let's see the answer to the given question and explain it in detail.
Given expression:2 f 2. 6. 2 (0) 2. 6. 0 2. 6. 2. 6.3 f 2. 6. 3 (0) 2. 6. 0 2. 6. 2. 6. Ella completed the following work to test the equivalence of two expressions.
She has substituted zero for f in the given expression to find out if both of the expressions give the same result or not.If both of the expressions have the same result after substituting zero for f, then they are considered equivalent.
However, if the results obtained are different, then the expressions are not equivalent.
The result obtained after substituting zero for f in both expressions is 26 2.6.0 2.6.2.6. 2.6.0 2.6.2.6. = 30.
Therefore, the expressions are equivalent because Ella got the same result when she substituted zero for f.
Hence, the correct answer is "The expressions are equivalent because Ella got the same result when she substituted zero for f."
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Question content area top Part 1 On a certain hot summer's day, 574 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1180.00. How many children and how many adults swam at the public pool that day?
The number of children and the adults present at the pool in the day was 223 and 351 respectively.
Given that, there are 574 people in a day swimming at public pool, the daily prices are $1.75 for children and $2.25 for adults.
The receipts for admission totaled $1180.00.
Let the number of adults be a and that the children be c,
So,
a + c = 574
a = 574 - c.........(i)
2.25a + 1.75c = 1180............(ii)
Put eq(i) in eq(ii)
2.25(574-c) + 1.75c = 1180
1291.5 - 2.25c + 1.75c = 1180
0.5c = 111.5
c = 223
Put the value of c in the eq(i)
a = 574-223
a = 351
Hence, the number of children and the adults present at the pool in the day was 223 and 351 respectively.
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Solve the following recurrence relation: an=3an−1+1;a0=1
The induction step holds, and we have shown that \(an = 3^n - 1\) for all n.
To solve the recurrence relation an=3an−1+1;a0=1, we can use the technique of backward substitution.
First, we can find a1 by substituting n=1 into the recurrence relation: a1 = 3a0 + 1 = 3(1) + 1 = 4.
Next, we can find a2 by substituting n=2 into the recurrence relation: a2 = 3a1 + 1 = 3(4) + 1 = 13.
We can continue this process to find a3, a4, and so on:
a3 = 3a2 + 1 = 3(13) + 1 = 40
a4 = 3a3 + 1 = 3(40) + 1 = 121
a5 = 3a4 + 1 = 3(121) + 1 = 364
a6 = 3a5 + 1 = 3(364) + 1 = 1093
So the solution to the recurrence relation an=3an−1+1;a0=1 is:
an = 3an-1 + 1
a0 = 1
a1 = 4
a2 = 13
a3 = 40
a4 = 121
a5 = 364
a6 = 1093
And we can see that the pattern seems to be that \(an = 3^n - 1\). We can prove this by induction.
Base case: when n=0, we have \(a0 = 3^0 - 1 = 0\), which is true.
Induction hypothesis: assume that \(an = 3^n - 1\) for some n.
Induction step: we want to show that\(a(n+1) = 3^(n+1) - 1\).
a(n+1) = 3an + 1 (by the recurrence relation)
=\(3(3^n - 1) + 1\)(by the induction hypothesis)
=\(3^(n+1) - 3 + 1\)
= \(3^(n+1) - 1\)
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which linear equation represents the data given in the table?
Answer:
\(c \: \: y = 3x - 8\)
if you insert x and y value in equation you can find equation
A rectangular piece of plywood 4 ft by 5.5 ft is cut from one corner to the opposite corner. What are the angles between the edges of the resulting pieces
The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):
\($$ BD^2 = 4^2 + 5.5^2 $$\)
\($$ BD^2 = 16 + 30.25 $$\)
\($$ BD^2 = 46.25 $$\)
\($$ BD = \sqrt{46.25} $$\)
\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)
Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):
\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)
\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)
\($$ \cos(A) = 0.5471 $$\)
\($$ A = \cos^{-1}(0.5471) $$\)
\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)
Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:
\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)
\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)
\($$ \cos(B) = 0.7416 $$\)
\($$ B = \cos^{-1}(0.7416) $$\)
\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)
Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
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Noah drew a pentagon with sides of length 1 inches. He wants to increase the length of each side by x inches so the pentagon is still a pentagon and has a perimeter of 25 inches.
The value of x that will give a perimeter of 25 inches is 4 inches
How to find the value of x that will give a perimeter of 25 inches?
The perimeter of a pentagon is the sum of the lengths of all its sides. The formula to calculate the perimeter of a pentagon is:
P = 5L
where is the side length
Initially, the sides of length, L is 1 inches
Now, we increase L by x and perimeter is 25 inches. Thus, can write:
25 = 5(1 + x)
25 = 5 + 5x
5x = 25 - 5
5x = 20
x = 20/5
x = 4 inches
Therefore, the value of x is 4 inches
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Willis analyzed the following table to determine if the function it represents is linear or non-linear. First he found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14. Then he concluded that since the differences of 6, 10, and 14 are increasing by 4 each time, the function has a constant rate of change and is linear. What was Willis’s mistake?
x
y
1
1
2
7
3
17
4
31
He found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14.
He determined that the differences of 6, 10, and 14 are increasing by 4 each time.
He concluded that the function has a constant rate of change.
He reasoned that a function that has a constant rate of change is linear.
The relationship between the x and y-values and not just the differences in the y-values. A linear function will have a constant rate of change, but a constant rate of change does not guarantee linearity.
Willis made a mistake in his reasoning by assuming that a function with a constant rate of change is necessarily linear. While it is true that linear functions have a constant rate of change, the converse is not always true. In other words, just because a function has a constant rate of change does not mean it is linear.
In this case, Willis calculated the differences in the y-values and observed that they were increasing by 4 each time: 6, 10, and 14. He incorrectly concluded that since these differences were increasing by a constant amount, the function must have a constant rate of change and therefore be linear. However, this is not a valid assumption.
There are non-linear functions that can exhibit a constant difference in their y-values. For example, a quadratic function such as y = x^2 will have a constant difference in its y-values for consecutive x-values, but it is not a linear function.To determine if a function is linear or non-linear, it is necessary to examine
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Bracelets are on sale for 3 for $15. How much do 5 bracelets cost?
Answer:
25
Step-by-step explanation:
15 divided by 3 is 5. Meaning, each bracelet cost $5. 2 bracelets cost 10 more dollars since 5x2 is equal to $10. 15+10=25
the sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle
Answer:
Step-by-step explanation:
3*√6 + 2√24 + 7√54= P
3√6 + 2√2*2*6 + 7√3*3*6
3√6 + 2*2√6+7*3√6
3√6 + 4√6 + 21√6
28√6 = the perimeter.
De Moivre's Theorem: Answers in standard form Use De Moivre's Theorem 0 to find (-1+√3)³. Put your answer in standard form. 0/6 ? X 010 S
By expressing the complex number (-1+3) as r(cos i + i sin i), where r is the modulus and i is the complex number's argument, we may use De Moivre's Theorem to determine (-1+3)3.
First, we use the formula r = \(((-1)2 + ((-3)2) = 2\) to determine the modulus of (-1+3).
Next, we use the formula = arctan(3/(-1)) = -/3 to determine the argument.
We can now raise the complex integer to the power of 3 using De Moivre's Theorem: (r(cos + i sin))3 is equal to \([2(cos(-/3) + i sin(-/3)]³\).
We get \([23(cos(-) + i sin(-))] = 8(cos(-) + i sin(-)\) after expanding and simplifying.
The outcome is 8(-1 + 0i) = -8 because cos(-) = -1 and sin(-) = 0.
The solution, in standard form, is -8.
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convert 9/3 into a mixed number in simplest form
Answer: 3/1 or just 3.
The answer would be 3 but in simplifying 9/3 it will be 3/1.
Step-by-step explanation:
x-intercept of the line 3x+20y=–12.
Answer:x=-4
Step-by-step explanation
1. Set y as 0. Doing so will help you solve for x
3x +20(0)=-12 aka 3x=-12
2. Divide each sides by 3
3x(divided by three) = -12 (divided by three)
x=-4
(your answer would be negative because a negative divided by a postitive is negative.)
my birthday is six days after my sister's birthday. my birthday is on the 12th. therefore, my sister's birthday is on the 18th. group of answer choices inductive deductive
This is an example of deductive reasoning. Deductive reasoning is a logical process where a conclusion is drawn from previously known facts or observations.
In this case, the fact that the person's birthday is six days after their sister's birthday, and the person's birthday is on the 12th, allows us to deduce that the sister's birthday must be on the 18th. The conclusion is derived directly from the given facts, without the need for additional observation or evidence.
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At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?
Answer:
24 inches
Step-by-step explanation:
What’s the answer for this
Answer:
4) y + 3 = 6x
Step-by-step explanation:
The y-intercept of your graph is (0, -3)
Putting 4) in standard form:
y = 6x - 3 the y-intercept is also (0, -3)
Structure: axioms quzlet axioms are statements about mathematics that require proof.
a) true
b) false
I've tried so many ways of solving this problem and none of them are working. I need the answer fast!
Here is the problem: There are lots of people on the Ferris Wheel O today. You know that the isosceles triangle made with A, B, and C has base angles B and C measuring at 40°. You also know that the line from W to U is a diameter. What is the degree measure of angle WUB?
I need the answer fast, thank you!
The degree measure of angle WUB is determined as 20⁰.
What is the value of angle WUB?The value of angle WUB is calculated by applying intersecting chord theorem as follows;
If line BU is a bisector angle ABC, then angle CBU is calculated as;
angle CBU = ¹/₂ x m∠ABC
angle CBU = ¹/₂ x 40⁰ = 20⁰
The value of arc CU is calculated as follows;
arc CU = 2 x m∠CBU (intersecting secants on the interior)
arc CU = 2 x 20⁰ = 40⁰
Draw a line to join point C and U, then we will have;
m∠ACU = OAC (alternate angles are equal)
OAC = 90 - m∠ACB (complementary angles of a right triangle)
OAC = 90 - 40
OAC = 50⁰
so, m∠ACU = 50⁰
The value of arc BC is calculated as follows;
arc BC = 2 x m∠ACU (intersecting secants on the interior)
arc BC = 2 x 50⁰ = 100⁰
Since line WU is diameter of the circle, arc WAU is calculated as;
arc WAU = 180⁰ (sum of angles in a semi circle)
The value of arc WB is calculated as follows;
arc WB = 360 - (arc WAU + arc CU + arc BC) (sum of angles in a circle)
arc WB = 360 - (180 + 40 + 100)
arc WB = 360 - 320
arc WB = 40⁰
The value of angle WUB is calculated as follows;
m∠WUB = ¹/₂ arc WB (intersecting secants on the interior)
m∠WUB = ¹/₂ x 40⁰
m∠WUB = 20⁰
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A right triangle is graphed on a coordinate plane. Find the length of the hypotenuse. Round your answer to the nearest tenth.
Answer:
7.6
Step-by-step explanation:
From the graph, we know the lengths of two legs.
a = 3
b = 7
Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember, a^2 + b^2 = c^2)
c = √a2 + √b2
= √(7)2 + √(3)2
= √49 + √9
= √58
= 7.6
Answer:7.6
Step-by-step explanation: